Estimation of AUC of ROC Curve Underlying Two Parameter Rayleigh Distribution

Modelling ROC curves have gained attention over the years and noticed various manifestations in estimation the Area under the Curve, sensitivity and specificity. All these were proposed on Binormal ROC curve and Non-parametric forms, however, in the recent past, many non-normal distributions have been proposed. In this paper, we propose an ROC curve that assumes the data is follow Rayleigh distribution. Certain characteristics are derived and are supported using simulated datasets.